2561100464 has 80 divisors (see below), whose sum is σ = 5592808704. Its totient is φ = 1128038400.

The previous prime is 2561100457. The next prime is 2561100517. The reversal of 2561100464 is 4640011652.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 467984 + ... + 473424.

Almost surely, 2^2561100464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2561100464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2796404352).

2561100464 is an abundant number, since it is smaller than the sum of its proper divisors (3031708240).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2561100464 is a wasteful number, since it uses less digits than its factorization.

2561100464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5566 (or 5560 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

The square root of 2561100464 is about 50607.3163090081. The cubic root of 2561100464 is about 1368.1767466535.

The spelling of 2561100464 in words is "two billion, five hundred sixty-one million, one hundred thousand, four hundred sixty-four".